1 citations · 2 across the 3 of their papers we have counts for
5 papers
Perfectoid Pure and Signature Pairs
Hanlin Cai, Anne Fayolle, Linquan Ma +4
We extend perfectoid purity and related invariants to divisor pairs in mixed characteristic. The resulting purity condition agrees with -purity of pairs in characteristic as…
An irregular smooth Fano fourfold in positive characteristic
Joe Waldron, Jakub Witaszek
We construct an explicit smooth projective Fano fourfold over an algebraically closed field of characteristic two with . Moreover, does no…
On rational chain connectedness of globally +-regular varieties
Emre Alp Özavcı, Zsolt Patakfalvi, Kevin Tucker +2
We prove that globally -regular varieties are rationally chain connected in dimension three and mixed characteristic with residue field characteristic . We also introduce a…
Perfectoid pure singularities
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4
Fix a prime number . Inspired by the notion of -pure or -split singularities, we study the condition that a Noetherian ring with in its Jacobson radical is pure inside…
Test ideals in mixed characteristic: a unified theory up to perturbation
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +5
Let be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inver…